APPLICATIONS OF EIGENVALUES AND EIGENVECTORS A project work submitted to the Department of Mathematics, Government Arts College (Autonomous), Coimbatore- 18, affiliated to Bharathiar University in partial fulfillment for the award of the degree of BACHELOR OF SCIENCE IN MATHEMATICS Submitted by S.No Roll. No Name 1. 19BMA215 Immanuel Ebenezer 2. 19BMA216 JEYAPANDI R 3. 19BMA217 Lakshmanan 4. 19BMA218 Madhan Sridhar D 5. 19BMA219 Madhusudhanan A Under the supervision of GOVERNMENT ARTS COLLEGE (AUTONOMOUS) POST GRADUATE AND RESEARCH DEPARTMENT OF MATHEMATICS COIMBATORE – 641018 JUNE – 2022 APPLICATIONS OF EIGENVALUES AND EIGENVECTORS A project work submitted to the Department of Mathematics, Government Arts College (Autonomous), Coimbatore- 18, affiliated to Bharathiar University in partial fulfillment for the award of the degree of BACHELOR OF SCIENCE IN MATHEMATICS Submitted by S.No Roll. No Name 1. 19BMA215 Immanuel Ebenezer 2. 19BMA216 Jeyapandi R 3. 19BMA217 Lakshmanan 4. 19BMA218 Madhansridhar 5. 19BMA219 Madhusudhanan Under the supervision of GOVERNMENT ARTS COLLEGE (AUTONOMOUS) POST GRADUATE AND RESEARCH DEPARTMENT OF MATHEMATICS COIMBATORE – 641018 JUNE – 2022 CERTIFICATE This is to certify that the project work titled “APPLICATIONS OF EIGENVALUES AND EIGENVECTORS” submitted to the Government Arts College (Autonomous), Coimbatore-18, affiliated to Bharathiar University in partial fulfilment for the award of the degree of BACHELOR OF SCIENCE IN MATHEMATICS is a record of original work done by S.No Roll.No Name 1. 2. 3. 4. 5. during the period 2021-2022 of their study in the Department of Mathematics , Government Arts College (Autonomous), Coimbatore-18, under my supervision. Certified further that to the best of my knowledge, the work reported herein does not form part of any other project wok or dissertation on the basis for the award of Degree / Diploma / Associate ship / Fellowship or similar title to any candidate of any University. Supervisor Head of the department Viva Voce examination held on : Internal Examiner External Examiner Principal DECLARATION We hereby declare that the project work titled “APPLICATION OF EIGENVALUES AND EIGENVECTORS” is a Bonafide project work done by us and submitted to Government Arts College (Autonomous), Coimbatore-18 affiliated to Bharathiar University in partial fulfilment of the requirement for the award of degree of BACHELOR OF SCIENCE IN MATHEMATICS and this project work has not formed the basis for the award of any Degree / Diploma / Associate ship / Fellowship or similar title to any candidate of any University. 1. 2. 3. 4. 5. DATE : PLACE : Signature of The Candidates ACKNOWLEDGEMENT We gratefully indebted to Guidance of Dr GI Associate professor Department of Mathematics for his constant encouragement , able guidance and praise worthy help in each and every stage . His contribution will be remembered forever . We wish to express our whole hearted thanks to Dr P.P . , Associate professor , Department of Mathematics for her constant encouragement . We acknowledge gratefully her persistent effort and affection endeavor to create love for the subject and logical thinking . We would like to express our gratitude and thanks to our beloved principal Dr v.kalaiselvi , for her kind patronage . We would like to thank all staff members of Mathematics Department for their encouragement and blessings . We also express our thanks to all our friends for their valuable suggestions . We thank our parents , the God and the light of mine life , for granting me the strength, courage and knowledge to complete this project successfully . We are grateful to our college for giving us an opportunity to undergo this project work . 1. 2. 3. 4. 5. Signature